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Finding the Fourth Proportional to 10,298.17, 15,314.77 and 9,970.12

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Solution

The fourth proportional to 10,298.17, 15,314.77 and 9,970.12 is: 14,826.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,298.17 : 15,314.77 = 9,970.12 : x
  2. Step 2: Convert to fraction form
    10,298.17/15,314.77 = 9,970.12/x
  3. Step 3: Cross multiply
    10,298.17x = 15,314.77 × 9,970.12
  4. Step 4: Simplify right side
    10,298.17x = 152,690,094.67
  5. Step 5: Solve for x
    x = 152,690,094.67/10,298.17
  6. Step 6: Final answer
    x = 14,826.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.